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1449742860 = 223551991499
BaseRepresentation
bin101011001101001…
…0101001000001100
310202000221120100000
41112122111020030
510432113232420
6355505004300
750632416366
oct12632251014
93660846300
101449742860
116843842a5
12345623690
131a1476b17
14da77dd36
158741d690
hex5669520c

1449742860 has 144 divisors (see below), whose sum is σ = 4586400000. Its totient is φ = 384398784.

The previous prime is 1449742829. The next prime is 1449742873. The reversal of 1449742860 is 682479441.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966391 + ... + 967889.

It is an arithmetic number, because the mean of its divisors is an integer number (31850000).

Almost surely, 21449742860 is an apocalyptic number.

1449742860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1449742860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293200000).

1449742860 is an abundant number, since it is smaller than the sum of its proper divisors (3136657140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1449742860 is a wasteful number, since it uses less digits than its factorization.

1449742860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1449742860 is about 38075.4889660002. The cubic root of 1449742860 is about 1131.7842852911.

The spelling of 1449742860 in words is "one billion, four hundred forty-nine million, seven hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 199 243 270 324 398 405 486 540 597 796 810 972 995 1194 1215 1499 1620 1791 1990 2388 2430 2985 2998 3582 3980 4497 4860 5373 5970 5996 7164 7495 8955 8994 10746 11940 13491 14990 16119 17910 17988 21492 22485 26865 26982 29980 32238 35820 40473 44970 48357 53730 53964 64476 67455 80595 80946 89940 96714 107460 121419 134910 161190 161892 193428 202365 241785 242838 269820 298301 322380 364257 404730 483570 485676 596602 607095 728514 809460 894903 967140 1193204 1214190 1457028 1491505 1789806 1821285 2428380 2684709 2983010 3579612 3642570 4474515 5369418 5966020 7285140 8054127 8949030 10738836 13423545 16108254 17898060 24162381 26847090 32216508 40270635 48324762 53694180 72487143 80541270 96649524 120811905 144974286 161082540 241623810 289948572 362435715 483247620 724871430 1449742860